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# Exercise 38 - Chapter 3

edited June 2018

Say where each morphism in $$\mathcal{F}$$ is sent under the functor $$F$$.

The compositions will both map to $$f . h$$. $$\begin{array}{c|c} \text{morphism }f & F~f \\\hline \text{id}_A' & \text{id}_A \\ \text{id}_B' & \text{id}_B \\ \text{id}_C' & \text{id}_C \\ \text{id}_D' & \text{id}_D \\ f' & f \\ g' & g \\ h' & h \\ i' & i \\ f' . h' & f . h \\ g' . i' & f . h \end{array}$$
Comment Source:The compositions will both map to \$$f . h\$$. $$\begin{array}{c|c} \text{morphism }f & F~f \\\hline \text{id}_A' & \text{id}_A \\ \text{id}_B' & \text{id}_B \\ \text{id}_C' & \text{id}_C \\ \text{id}_D' & \text{id}_D \\ f' & f \\ g' & g \\ h' & h \\ i' & i \\ f' . h' & f . h \\ g' . i' & f . h \end{array}$$